Non-local formulation of ghost-free bigravity theory

We study the ghost-free bimetric theory of Hassan and Rosen, with parameters $\beta_i$ such that a flat Minkowski solution exists for both metrics. We show that, expanding around this solution and eliminating one of the two metrics with its own equation of motion, the remaining metric is governed by the Einstein-Hilbert action plus a non-local term proportional to $W_{\mu\nu\rho\sigma} (\Box-m^2)^{-1}W^{\mu\nu\rho\sigma}$, where $W_{\mu\nu\rho\sigma}$ is the Weyl tensor. The result is valid to quadratic order in the metric perturbation and to all orders in the derivative expansion. This example shows, in a simple setting, how such non-local extensions of GR can emerge from an underlying consistent theory, at the purely classical level.Comment: 16 page

Conformal symmetry and nonlinear extensions of nonlocal gravity

We study two nonlinear extensions of the nonlocal $R\,\Box^{-2}R$ gravity theory. We extend this theory in two different ways suggested by conformal symmetry, either replacing $\Box^{-2}$ with $(-\Box + R/6)^{-2}$, which is the operator that enters the action for a conformally-coupled scalar field, or replacing $\Box^{-2}$ with the inverse of the Paneitz operator, which is a four-derivative operator that enters in the effective action induced by the conformal anomaly. We show that the former modification gives an interesting and viable cosmological model, with a dark energy equation of state today $w_{\rm DE}\simeq -1.01$, which very closely mimics $\Lambda$CDM and evolves asymptotically into a de Sitter solution. The model based on the Paneitz operator seems instead excluded by the comparison with observations. We also review some issues about the causality of nonlocal theories, and we point out that these nonlocal models can be modified so to nicely interpolate between Starobinski inflation in the primordial universe and accelerated expansion in the recent epoch.Comment: 27 pages, 4 figure

Non-local gravity with a Weyl-square term

Recent work has shown that modifications of General Relativity based on the addition to the action of a non-local term $R\,\Box^{-2}R$, or on the addition to the equations of motion of a term involving $(g_{\mu\nu}\Box^{-1} R)$, produce dynamical models of dark energy which are cosmologically viable both at the background level and at the level of cosmological perturbations. We explore a more general class of models based on the addition to the action of terms proportional to $R_{\mu\nu}\,\Box^{-2}R^{\mu\nu}$ and $C_{\mu\nu\rho\sigma}\, \Box^{-2}C^{\mu\nu\rho\sigma}$, where $C_{\mu\nu\rho\sigma}$ is the Weyl tensor. We find that the term $R_{\mu\nu}\,\Box^{-2}R^{\mu\nu}$ does not give a viable background evolution. The non-local Weyl-square term, in contrast, does not contribute to the background evolution but we find that, at the level of cosmological perturbations, it gives instabilities in the tensor sector. Thus, only non-local terms which depend just on the Ricci scalar $R$ appear to be cosmologically viable. We discuss how these results can provide a hint for the mechanism that might generate these effective non-local terms from a fundamental local theory.Comment: 25 pages, 6 figures. v2: the version to appear in PR

I castelli lungo la valle del Marta

Forthcoming

Dalla Civitas Tarquiniensium al Castrum Tarquini. Revisione dei dati storici ed archeologici

Forthcoming

High performance encapsulation and networking in Casanova 2

Encapsulation is a programming technique that helps developers keeping code readable and maintainable. However, encapsulation in modern object-oriented languages often causes significant runtime overhead. Developers must choose between clean encapsulated code or fast code. In the application domain of computer games, speed of execution is of utmost importance, which means that the choice between clean and fast usually is decided in favor of the latter. In this paper we discuss how encapsulation is embedded in the Casanova 2 game development language, and show how Casanova 2 allows developers to write encapsulated game code, which thanks to extensive optimization achieves at the same time high levels of performance. Furthermore, we show that the abstractions provided by Casanova so far cover no more than the tip of the iceberg: we document a further extension in the traditionally challenging domain of networking and show how the language can provide significant improvement in productivity

High performance encapsulation in Casanova 2

Encapsulation is a programming technique that helps developers keeping code readable and maintainable. However, encapsulation in modern object oriented languages often causes significant runtime overhead. Developers must choose between clean encapsulated code or fast code. In the application domain of computer games, speed of execution is of utmost importance, which means that the choice between clean and fast usually is decided in favor of the latter. In this paper we discuss how encapsulation is embedded in the Casanova 2 game development language, and show how Casanova 2 allows developers to write encapsulated game code which, thanks to extensive optimization, achieves at the same time high levels of performance

Free and cued selective reminding test predicts progression to Alzheimer's disease in people with mild cognitive impairment

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Osteocalcin modulates parathyroid cell function in human parathyroid tumors

IntroductionThe bone matrix protein osteocalcin (OC), secreted by osteoblasts, displays endocrine effects. We tested the hypothesis that OC modulates parathyroid tumor cell function.MethodsPrimary cell cultures derived from parathyroid adenomas (PAds) and HEK293 cells transiently transfected with the putative OC receptor GPRC6A or the calcium sensing receptor (CASR) were used as experimental models to investigate γ-carboxylated OC (GlaOC) or uncarboxylated OC (GluOC) modulation of intracellular signaling.ResultsIn primary cell cultures derived from PAds, incubation with GlaOC or GluOC modulated intracellular signaling, inhibiting pERK/ERK and increasing active β-catenin levels. GlaOC increased the expression of PTH, CCND1 and CASR, and reduced CDKN1B/p27 and TP73. GluOC stimulated transcription of PTH, and inhibited MEN1 expression. Moreover, GlaOC and GluOC reduced staurosporin-induced caspase 3/7 activity. The putative OC receptor GPRC6A was detected in normal and tumor parathyroids at membrane or cytoplasmic level in cells scattered throughout the parenchyma. In PAds, the membrane expression levels of GPRC6A and its closest homolog CASR positively correlated; GPRC6A protein levels positively correlated with circulating ionized and total calcium, and PTH levels of the patients harboring the analyzed PAds. Using HEK293A transiently transfected with either GPRC6A or CASR, and PAds-derived cells silenced for CASR, we showed that GlaOC and GluOC modulated pERK/ERK and active β-catenin mainly through CASR activation.ConclusionParathyroid gland emerges as a novel target of the bone secreted hormone osteocalcin, which may modulate tumor parathyroid CASR sensitivity and parathyroid cell apoptosis